Discrete Math Given the relation R on the set 0 1 2 3 contai

Discrete Math

Given the relation R on the set {0, 1, 2, 3} containing the ordered pairs {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)} which of the following is the reflexive closure of R? {(2, 1), (0, 1), (1, 1), (1, 2), (2, 0), (0, 3), (3, 0), (3, 3)} {(0, 0), (1, 1), (2, 2), (3, 3)} {(0, 0), (0, 1), (1, 1), (1, 2), (2, 0), (3, 0)} {(0, 0), (0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0), (3, 3)}

Solution

Reflexive closure of R is the union of R with the identity relation.

Answer would be D. cause (0,0) and (3,3) will get added.